# FREE College Math Placement Algebra Question and Answers

#### This week, Kim put in 22 hours and earned $132. How much will she earn if she works 15 hours a week at the same wage?

Explanation:

The ratio 22/132=15/x can be used to estimate Kim's earnings for the upcoming week. x = 90 is obtained by solving for x. She will therefore earn $90 the next week if she puts in 15 hours.

#### What portion of the page can Linda type in 5 minutes if she can type a page in p minutes?

Explanation:

It is possible to write the ratio as 1/p=x/5. xp = 5 is the result of solving for the variable x, where x=5/p. Lynn can therefore type five pages per minute.

#### For nursing school, you must buy a textbook. The book was eighty dollars, and the local sales tax on it is eight and twenty five percent. You've got $100. What kind of change can you expect to get back?

Explanation:

The equation 80+(80*0.0825) may be used to indicate the price you will pay for the book. Consequently, the cost of the book is $86.60. You will receive $13.40 in change, which is the difference between $100 and $86.60.

#### If 15 z = 3 y and r = 5 z, then r =

Explanation:

By dividing both sides of the equation r=5z by 5, it is possible to find the value of z. This results in r/5=z. The result of changing the variable z in the equation 15z=3y to r/5 is 15(r/5)=3y. By finding y, we get r = y.

#### You put $3,000 down and spend $225 per month for 6 months to buy an automobile. How much have you already spent on the vehicle?

Explanation:

You can write the price you paid for the car as $3,000 + 6($225), which comes to $4,350.

#### How long will it take Jessica and Johnny to paint the same house together if Jessica can do it in four hours and Johnny can do it in six?

Explanation:

In an hour, Jessica can paint a quarter of the home. In an hour, Johnny can paint a sixth of the same house. When they collaborate, the following equation can be used to calculate how long it will take them to paint the house: 1/4 x+1/6 x=1. 5/12 x=1 is obtained by solving for x, where x = 2.4 hours, or 2 hours and 24 minutes.

#### Your supervisor gave you the order to get the nurse's station 240 pens and 6 staplers. Pens can be bought in packs of six for $2.35 each. Staplers cost 12.95 for a set of two. How much will it cost to buy these products?

Explanation:

40 pen packets and 3 sets of staplers are required. Thus, equation 40(2.35) + 3 can be used to describe the whole cost (12.95). It costs $132.85 in total.